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Finding the Third Proportional to 243,622,266 and 399,932,808

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Solution

The third proportional to 243,622,266 and 399,932,808 is: 656,533,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,622,266 : 399,932,808 = 399,932,808 : x
  2. Step 2: Convert to fraction form
    243,622,266/399,932,808 = 399,932,808/x
  3. Step 3: Cross multiply
    243,622,266x = 399,932,808 × 399,932,808
  4. Step 4: Simplify right side
    243,622,266x = 159,946,250,914,764,864
  5. Step 5: Solve for x
    x = 159,946,250,914,764,864/243,622,266
  6. Step 6: Final answer
    x = 656,533,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.